What is the solution for x^4(dy)/(dx)-2x^3y=4x^6-3x^2 ?

The solution for x^4(dy)/(dx)-2x^3y=4x^6-3x^2 is y=4x^3+1/x+c_{1}x^2

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x^4(dy)/(dx)-2x^3y=4x^6-3x^2

x^{4} \frac{d y}{d x} - 2 x^{3} y = 4 x^{6} - 3 x^{2}

y = 4 x^{3} + \frac{1}{x} + c_{1} x^{2}

Solution steps

x^{4} \frac{d y}{d x} - 2 x^{3} y = 4 x^{6} - 3 x^{2}

Solve linear ODE:

y = 4 x^{3} + \frac{1}{x} + c_{1} x^{2}

y = 4 x^{3} + \frac{1}{x} + c_{1} x^{2}

What is the solution for x^4(dy)/(dx)-2x^3y=4x^6-3x^2 ?
The solution for x^4(dy)/(dx)-2x^3y=4x^6-3x^2 is y=4x^3+1/x+c_{1}x^2